The goal of this deck is to combine tons of card draw to get at least 6 cards each turn and still have resources to pay for some of them. Erestor would be a natural choice, but I've played a lot of Noldor already and I didn't want to discard the cards at the end of the round.
The largest draw engine is Gandalf with three copies of Expert Treasure-hunter in the deck. Assuming you get all of them out, that's 4 cards every turn. With each one you play, you increase the odds of drawing the others, so it's not unusual to get all of them out. Bilbo Baggins gives us another card, bringing us up to 5 cards per turn. Galdor of the Havens can use his response after Expert Treasure-hunter or Estel, bringing us to 6 cards per round with no ongoing costs to maintain this draw. If you do have extra resources, Elven-light brings us to 7+ cards drawn every round. With Steward of Gondor, Wizard Pipe, Hidden Cache, and the aforementioned Expert Treasure-hunter, you generate 7 resources each round. For some extra resources, you can easily play two copies of Love of Tales, and any Drinking Song that you sing will net you a few bonus.
That's a lot of pieces to get together. Can this deck really do it? Absolutely. A Perilous Voyage was originally thrown in to ensure you can get the card draw from Expert Treasure-hunter with every hero questing after you flip the contract, but it also gives you extra card draw at the beginning of the game, even allowing you to choose from the top two cards for the one you prefer. Estel starts out being able to show you a new card from the top 3 of the deck, potentially twice a round with Aragorn's ability. That's three cards net drawn, and 5 new cards, 3 of which you're selecting (so you're seeing about 10 new cards in total), starting from the first round. Add to this Drinking Song, Daeron's Runes, Elven-light, Heed the Dream, Word of Command, Messenger Raven, and Gather Information and you can find all the cards that this deck needs to take off.
The long-term defensive solution is a Grey Companion, ideally riding a Wild Stallion and boosted by Narya, Elessar, and Arwen Undómiel. Gandalf and Aragorn are also serviceable, especially at the beginning of the game. Try to get a title on Aragorn or Narya on Gandalf before the contract flips. If you haven't drawn Sword that was Broken, it's a top pick for playing when it flips, though there are a number of high-cost allies and attachments that would also work well.
When I tested this deck, I played an earlier iteration against Wastes of Eriador and ended up winning in round nine with 23 cards remaining in my deck. That's a personal speed record for that scenario, and if you decide to turtle, it's very plausible to draw your entire 100-card deck.